How Do You Calculate Orbital Radius and Velocity for Different Orbital Periods?

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Homework Help Overview

The discussion revolves around calculating the orbital radius and velocity for two impulse engines in Earth orbit, one with an orbital period of 9.6 hours and the other with 24.0 hours. Participants are exploring the relevant equations and concepts related to circular orbits.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to recall equations related to circular orbits but expresses difficulty due to a lack of notes and memory of the lesson. Some participants provide links to resources and discuss the relationship between gravitational force and centripetal force in circular orbits.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the concepts and equations needed to solve the problem. Some guidance has been offered regarding the fundamental principles of circular orbits, but no consensus or complete solutions have emerged yet.

Contextual Notes

The original poster mentions a lack of access to notes and expresses concern about upcoming tests, indicating a time constraint and pressure to understand the material quickly.

SuperNubCake
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Homework Statement


An impulse Engine, A, is located in Earth orbit with an orbital period of 9.6 hours. Another Impulse Engine, B, is located in Earth Orbit with an orbital period of 24.0 hours.

a) What is the orbital radius and orbital velocity of IEA?

b) What is the orbital radius and orbital velocity of IEB?


Homework Equations





The Attempt at a Solution


I was trying to figure this out from the equations my teacher gave me, but it's been a while since he assigned it and talked about it in class so my memory of the lesson is gone. My notes are... i have no idea where it is. Please help.
 
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Welcome to PF, Supernubcake.
There is an orbit explanation that really resonates with me, and most of the students I taught in high school. You always begin with the basic idea of circular orbits:
Force of gravity on satellite = centripetal force on satellite
They are not only equal; they are one and the same thing!
Then you fill in the gravitational formula with the big G and choose either of the centripetal force formulas depending on whether you are interested in period T or velocity v. Solve for any orbital quantity you want!
 
I thought I understood the site, but when it came down to do stuff in class, I couldn't figure it out. Could I have a better explanation of this stuff? I have a Hohmann transfer test tomorrow in class and I just horribly failed my forces test today.
 

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